1. Nicholas S. Walker Tri-County High School Mathematics Tournament Welcome to the

2. The Nicholas S. Walker Tri-County High School Mathematics Tournament REMEMBER  Raise the Answer sheet High  Use your time wisely  Only correct answers count  REDUCE ALL ANSWERS  SHOW UNITS IF APPLICABLE

3. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

4. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 1 3 pts Given: FIND

5. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 1 2 pts Given: FIND

6. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 1 1 pt Given: FIND

7. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 1 The correct answer is:

8. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 1

9. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

10. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 2 3 pts The radius of a sphere is increasing at the constant rate of 3cm/sec. Find the rate of change of the surface area of the sphere when r=5 cm.

11. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 2 2 pts The radius of a sphere is increasing at the constant rate of 3cm/sec. Find the rate of change of the surface area of the sphere when r=5 cm.

12. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 2 1 pt The radius of a sphere is increasing at the constant rate of 3cm/sec. Find the rate of change of the surface area of the sphere when r=5 cm.

13. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 2 The correct answer is:

14. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 2

15. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

16. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 3 3 pts Evaluate:

17. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 3 2 pts Evaluate:

18. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 3 1 pt Evaluate:

19. Nicholas S. Walker Mathematics Tournament Calculus Competition Question 3 The correct answer is:

20. Nicholas S. Walker Mathematics Tournament Calculus Competition Question 3

21. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

22. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 4 Evaluate: 3 pts

23. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 4 Evaluate: 2 pts

24. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 4 Evaluate: 1 pt

25. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 4 The correct answer is:

26. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 4

27. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

28. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 5 3 pts Find the slope of the tangent line at given f(x) = cotx.

29. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 5 2 pts Find the slope of the tangent line at given f(x) = cotx.

30. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 5 1 pt Find the slope of the tangent line at given f(x) = cotx.

31. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 5 The correct answer is:

32. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 5

33. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

34. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 6 3 pts Given the velocity of a particle is described by the function, find the position function s(t) given that s(0) = 5.

35. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 6 2 pts Given the velocity of a particle is described by the function, find the position function s(t) given that s(0) = 5.

36. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 6 1 pt Given the velocity of a particle is described by the function, find the position function s(t) given that s(0) = 5.

37. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 6 The correct answer is:

38. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 6

39. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

40. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 7 3 pts Find the area bounded by the curve, the x-axis, and the vertical lines x=-1 and x=2.

41. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 7 2 pts Find the area bounded by the curve, the x-axis, and the vertical lines x=-1 and x=2.

42. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 7 1 pt Find the area bounded by the curve, the x-axis, and the vertical lines x=-1 and x=2.

43. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 7 The correct answer is:

44. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 7

45. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

46. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 8 3 pts Find

47. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 8 2 pts Find

48. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 8 1 pt Find

49. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 8 The correct answer is:

50. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 8

51. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

52. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 9 3 pts lim

53. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 9 2 pts lim

54. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 9 1 pt lim

55. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 9 The correct answer is:

56. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 9

57. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

58. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 10 3 pts Find given

59. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 10 2 pts Find given

60. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 10 1 pt Find given

61. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 10 The correct answer is:

62. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 10

63. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

64. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 11 3 pts Find the interval over which the function is decreasing.

65. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 11 2 pts Find the interval over which the function is decreasing.

66. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 11 1 pt Find the interval over which the function is decreasing.

67. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 11 The correct answer is:

68. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 11

69. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

70. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 12 3 pts Findif

71. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 12 2 pts Findif

72. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 12 1 pt Findif

73. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 12 The correct answer is:

74. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 12

75. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

76. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 13 3 pts Find the equation of the normal line at x=-1 given:

77. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 13 2 pts Find the equation of the normal line at x=-1 given:

78. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 13 1 pt Find the equation of the normal line at x=-1 given:

79. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 13 The correct answer is:

80. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 13

81. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

82. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 14 3 pts Find the average value of the function over the interval

83. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 14 2 pts Find the average value of the function over the interval

84. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 14 1 pt Find the average value of the function over the interval

85. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 14 The correct answer is:

86. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Question 14

87. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Is there a winner?

88. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

89. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 1 3 pts Find the volume of the solid generated when the region enclosed by the graph of and the x-axis in the interval [1,3] is rotated about the x-axis.

90. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 1 2 pts Find the volume of the solid generated when the region enclosed by the graph of and the x-axis in the interval [1,3] is rotated about the x-axis.

91. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 1 1 pt Find the volume of the solid generated when the region enclosed by the graph of and the x-axis in the interval [1,3] is rotated about the x-axis.

92. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 1 The correct answer is:

93. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 1

94. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

95. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 2 3 pts Evaluate

96. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 2 2 pts Evaluate

97. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 2 1 pt Evaluate

98. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 2 The correct answer is:

99. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 2

100. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

101. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 3 3 pts Find

102. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 3 2 pts Find

103. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 3 1 pt Find

104. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 3 The correct answer is:

105. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 3

106. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition Team members READY SET …

107. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 4 3 pts If find

108. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 4 2 pts If find

109. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 4 1 pt If find

110. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 4 The correct answer is:

111. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Tie Breaker 4

112. The Nicholas S. Walker Tri-County High School Mathematics Tournament Calculus Competition THANK YOU FOR PARTICIPATING! MHS Mu Alpha Theta